Using the data from your experiment, calculate the kinetic energy of the ball (steel and plastic) just before the collision using the value of the initial velocity of the ball obtained from the ballistic pendulum (v). Record these in Table 5 below. Ball Steel Plastic Table 5: Experimental Data ΚΕ KE Fractional Loss KE-KET KE

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I need help finding initial ke, and final ke.
**The Experiment:** In this experiment, the muzzle velocity of a projectile launcher will be 1) predicted, 2) measured, and 3) used as an initial parameter to attempt to land a ball on a floor target.

1. Remove the ball from the bob and reset the maximum height rule. Place the ball into the gun and load the gun by pushing the ball down the muzzle using the dowel. Remember to be consistent with your setting.
2. When the pendulum is at rest, fire the ball into the pendulum bob. This will cause the pendulum with the ball inside it to swing up and strike the marker and the highest angle that the bob has swung. Record this angle and repeat this procedure four times, recording the maximum angle for each trial.

**Table 4: Record experimental data below.**

| Ball    | θ₁  | θ₂  | θ₃  | θ₄  | Ave. Deflection |
|---------|-----|-----|-----|-----|-----------------|
| Steel   | 37.5| 38.2| 38.0| 38.6| 38.1            |
| Plastic | 15.0| 14.3| 13.5| 14.5| 14.3            |

- **Ball Mass:**
  - Steel: 67g
  - Plastic: 20g
  
- **Pendulum Arm:**
  - Mass: 243g
  - Length: 30cm

3. Calculate the average of these four trials to produce the average angle of maximum deflection.

   - **Steel:** \((37.5 + 38.2 + 38.0 + 38.6) / 4 = 38.1\)
   - **Plastic:** \((15.0 + 14.3 + 13.5 + 14.5) / 4 = 14.3\)
Transcribed Image Text:**The Experiment:** In this experiment, the muzzle velocity of a projectile launcher will be 1) predicted, 2) measured, and 3) used as an initial parameter to attempt to land a ball on a floor target. 1. Remove the ball from the bob and reset the maximum height rule. Place the ball into the gun and load the gun by pushing the ball down the muzzle using the dowel. Remember to be consistent with your setting. 2. When the pendulum is at rest, fire the ball into the pendulum bob. This will cause the pendulum with the ball inside it to swing up and strike the marker and the highest angle that the bob has swung. Record this angle and repeat this procedure four times, recording the maximum angle for each trial. **Table 4: Record experimental data below.** | Ball | θ₁ | θ₂ | θ₃ | θ₄ | Ave. Deflection | |---------|-----|-----|-----|-----|-----------------| | Steel | 37.5| 38.2| 38.0| 38.6| 38.1 | | Plastic | 15.0| 14.3| 13.5| 14.5| 14.3 | - **Ball Mass:** - Steel: 67g - Plastic: 20g - **Pendulum Arm:** - Mass: 243g - Length: 30cm 3. Calculate the average of these four trials to produce the average angle of maximum deflection. - **Steel:** \((37.5 + 38.2 + 38.0 + 38.6) / 4 = 38.1\) - **Plastic:** \((15.0 + 14.3 + 13.5 + 14.5) / 4 = 14.3\)
**Transcription for Educational Website:**

---

**7. Calculating the Initial Velocity**

Calculate the initial velocity of the ball (\(v\)) as you did in the sample calculation.

**8. Kinetic Energy Calculation**

Using the data from your experiment, calculate the kinetic energy of the ball (steel and plastic) just before the collision using the value of the initial velocity of the ball obtained from the ballistic pendulum (\(v\)). Record these in Table 5 below.

**Table 5: Experimental Data**

| Ball     | \( K_{Ei} \) | \( K_{Ef} \) | Fractional Loss \( \frac{K_{Ei} - K_{Ef}}{K_{Ei}} \) |
|----------|-------------|-------------|------------------------------------------------------|
| Steel    |             |             |                                                      |
| Plastic  |             |             |                                                      |

**9. Comparing Energy Loss**

Compare these using the formula for fractional loss of kinetic energy during the totally inelastic impact. If you discover a loss, where did the energy go?

**Diagram Explanation:**

The diagram on the right illustrates a pendulum setup featuring a ball attached to a string or rod of length \(L\). The ball is raised to a height \(h\) from its lowest point, creating an angle \(\theta\) when released. This setup is typical in experiments to calculate potential and kinetic energy and observe energy transformations.

---
Transcribed Image Text:**Transcription for Educational Website:** --- **7. Calculating the Initial Velocity** Calculate the initial velocity of the ball (\(v\)) as you did in the sample calculation. **8. Kinetic Energy Calculation** Using the data from your experiment, calculate the kinetic energy of the ball (steel and plastic) just before the collision using the value of the initial velocity of the ball obtained from the ballistic pendulum (\(v\)). Record these in Table 5 below. **Table 5: Experimental Data** | Ball | \( K_{Ei} \) | \( K_{Ef} \) | Fractional Loss \( \frac{K_{Ei} - K_{Ef}}{K_{Ei}} \) | |----------|-------------|-------------|------------------------------------------------------| | Steel | | | | | Plastic | | | | **9. Comparing Energy Loss** Compare these using the formula for fractional loss of kinetic energy during the totally inelastic impact. If you discover a loss, where did the energy go? **Diagram Explanation:** The diagram on the right illustrates a pendulum setup featuring a ball attached to a string or rod of length \(L\). The ball is raised to a height \(h\) from its lowest point, creating an angle \(\theta\) when released. This setup is typical in experiments to calculate potential and kinetic energy and observe energy transformations. ---
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